𝔖 Bobbio Scriptorium
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Smoothness of functions and rate of approximation

✍ Scribed by O. V. Sil’vanovich; N. A. Shirokov


Book ID
111502562
Publisher
Allerton Press, Inc.
Year
2008
Tongue
English
Weight
136 KB
Volume
41
Category
Article
ISSN
1063-4541

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📜 SIMILAR VOLUMES


Moduli of smoothness and best approximat
✍ M. Ganzburg 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 621 KB

Error estimates for approximation of functions ~ox,a,0 (x) = ~x,~,l (x) + i~ox,a,2 (X) = [x[)~exp (iA[x[-°'), A > 0, a :> 0, A e R are given. Let E(f,B, Lp(f~)) denote the error of approximation of f by elements from B in the Lp-metric. Then, it is shown that for polynomial approximation E(~,a,l,Pr,